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QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios

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abstract

The procedure to calculate masses and matrix-elements in the presence of mixing of the basis states is explained in detail. We then apply this procedure to the two-loop calculation in Chiral Perturbation Theory of pseudoscalar masses and decay constants including quark mass isospin breaking. These results are used to update our analysis of $K_{\ell4}$ done previously and obtain a value of $m_u/m_d$ in addition to values for the low-energy-constants $L_i^r$.

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2024 1

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FLAG Review 2024

hep-lat · 2024-11-06 · accept · novelty 2.0

The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.

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  • FLAG Review 2024 hep-lat · 2024-11-06 · accept · none · ref 269 · internal anchor

    The FLAG 2024 review provides updated averages of lattice QCD determinations for quark masses, decay constants, form factors, mixing parameters, and nucleon matrix elements.